Progress In Combinatorial Optimization

Author : William R. Pulleyblank
Publisher : Academic Press
ISBN 13 : 148326453X
Total Pages : 387 pages
Book Rating : 4.30/5 ( download)

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Download or read book Progress in Combinatorial Optimization written by William R. Pulleyblank and published by Academic Press. This book was released on 2014-05-10 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress in Combinatorial Optimization provides information pertinent to the fundamental aspects of combinatorial optimization. This book discusses how to determine whether or not a particular structure exists. Organized into 21 chapters, this book begins with an overview of a polar characterization of facets of polyhedra obtained by lifting facets of lower dimensional polyhedra. This text then discusses how to obtain bounds on the value of the objective in a graph partitioning problem in terms of spectral information about the graph. Other chapters consider the notion of a triangulation of an oriented matroid and show that oriented matroid triangulation yield triangulations of the underlying polytopes. This book discusses as well the selected results and problems on perfect ad imperfect graphs. The final chapter deals with the weighted parity problem for gammoids, which can be reduced to the weighted graphic matching problem. This book is a valuable resource for mathematicians and research workers.

Author : Moustapha Diaby
Publisher : World Scientific
ISBN 13 : 981470489X
Total Pages : 220 pages
Book Rating : 4.92/5 ( download)

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Download or read book Advances in Combinatorial Optimization written by Moustapha Diaby and published by World Scientific. This book was released on 2016-01-28 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: ' Combinational optimization (CO) is a topic in applied mathematics, decision science and computer science that consists of finding the best solution from a non-exhaustive search. CO is related to disciplines such as computational complexity theory and algorithm theory, and has important applications in fields such as operations research/management science, artificial intelligence, machine learning, and software engineering. Advances in Combinatorial Optimization presents a generalized framework for formulating hard combinatorial optimization problems (COPs) as polynomial sized linear programs. Though developed based on the ''traveling salesman problem'' (TSP), the framework allows for the formulating of many of the well-known NP-Complete COPs directly (without the need to reduce them to other COPs) as linear programs, and demonstrates the same for three other problems (e.g. the ''vertex coloring problem'' (VCP)). This work also represents a proof of the equality of the complexity classes "P" (polynomial time) and "NP" (nondeterministic polynomial time), and makes a contribution to the theory and application of ''extended formulations'' (EFs). On a whole, Advances in Combinatorial Optimization offers new modeling and solution perspectives which will be useful to professionals, graduate students and researchers who are either involved in routing, scheduling and sequencing decision-making in particular, or in dealing with the theory of computing in general. Contents:IntroductionBasic IP Model Using the TSPBasic LP Model Using the TSPGeneric LP Modeling for COPsNon-Symmetry of the Basic (TSP) ModelNon-Applicability of Extended Formulations TheoryIllustrations for Other NP-Complete COPs Readership: Professionals, graduate students and researchers who are either involved in routing, scheduling and sequencing decision-making in particular, or in dealing with the theory of computing in general. Key Features:The book offers a new proof of the equality of the complexity classes "P" and "NP"Although our approach is developed using the framework of the TSP, it has natural analogs for the other problems in the NP-Complete class thus providing a unified framework for modeling many combinatorial optimization problems (COPs)The book makes a contribution to the theory and application of Extended Formulations (EFs) refining the notion of EFs by separating the case in which that notion is degenerate from the case in which the notion of EF is well defined/meaningful. It separates the case in which the addition of redundant constraints and variables (for the purpose of establishing EF relations) matters from the case in which the addition of redundant constraints and variables does not matterKeywords:Linear Programming;Convex Optimization;Combinatorial Optimization;Traveling Salesman Problem;NP-Complete Problems;P versus NP'

Author : Ridha Mahjoub
Publisher : Wiley-ISTE
ISBN 13 : 9781848212060
Total Pages : 0 pages
Book Rating : 4.62/5 ( download)

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Download or read book Progress in Combinatorial Optimization written by Ridha Mahjoub and published by Wiley-ISTE. This book was released on 2012-02-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent developments and new trends in Combinatorial Optimization. Combinatorial Optimization is an active research area that has applications in many domains such as communications, network design, VLSI, scheduling, production, computational biology. In the past years, new results and major advances have been seen in many areas including computational complexity, approximation algorithms, cutting-plane based methods and submodularity function minimization. More efficient and powerful methods have been developed for approaching real-worlds problems, and new concepts and theoritical results have been introduced.

Author : Evripidis Bampis
Publisher : Springer Science & Business Media
ISBN 13 : 3540322124
Total Pages : 355 pages
Book Rating : 4.22/5 ( download)

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Download or read book Efficient Approximation and Online Algorithms written by Evripidis Bampis and published by Springer Science & Business Media. This book was released on 2006-02-06 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a good opportunity for computer science practitioners and researchers to get in sync with current state-of-the-art and future trends in the field of combinatorial optimization and online algorithms. Recent advances in this area are presented focusing on the design of efficient approximation and on-line algorithms. One central idea in the book is to use a linear program relaxation of the problem, randomization and rounding techniques.

Author : William R. Pulleyblank
Publisher :
ISBN 13 : 9780125667807
Total Pages : 374 pages
Book Rating : 4.09/5 ( download)

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Download or read book Progress in Combinatorial Optimization written by William R. Pulleyblank and published by . This book was released on 1984 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Alexander Schrijver
Publisher : Springer Science & Business Media
ISBN 13 : 9783540443896
Total Pages : 2024 pages
Book Rating : 4.94/5 ( download)

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Download or read book Combinatorial Optimization written by Alexander Schrijver and published by Springer Science & Business Media. This book was released on 2003-02-12 with total page 2024 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "About 30 years ago, when I was a student, the first book on combinatorial optimization came out referred to as "the Lawler" simply. I think that now, with this volume Springer has landed a coup: "The Schrijver". The box is offered for less than 90.- EURO, which to my opinion is one of the best deals after the introduction of this currency." OR-Spectrum

Author : S. Martello
Publisher : Elsevier
ISBN 13 : 9780080872438
Total Pages : 383 pages
Book Rating : 4.33/5 ( download)

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Download or read book Surveys in Combinatorial Optimization written by S. Martello and published by Elsevier. This book was released on 2011-09-22 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of papers surveying recent progress in the field of Combinatorial Optimization. Topics examined include theoretical and computational aspects (Boolean Programming, Probabilistic Analysis of Algorithms, Parallel Computer Models and Combinatorial Algorithms), well-known combinatorial problems (such as the Linear Assignment Problem, the Quadratic Assignment Problem, the Knapsack Problem and Steiner Problems in Graphs) and more applied problems (such as Network Synthesis and Dynamic Network Optimization, Single Facility Location Problems on Networks, the Vehicle Routing Problem and Scheduling Problems).

Author : Mustafa Akgül
Publisher : Springer Science & Business Media
ISBN 13 : 364277489X
Total Pages : 336 pages
Book Rating : 4.98/5 ( download)

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Download or read book Combinatorial Optimization written by Mustafa Akgül and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: There have been significant developments in the theory and practice of combinatorial optimization in the last 15 years. This progress has been evidenced by a continuously increasing number of international and local conferences, books and papers in this area. This book is also another contribution to this burgeoning area of operations research and optimization. This volume contains the contributions of the participants of the recent NATO Ad vanced Study Institute, New Frontiers in the Theory and Practice of Combinatorial Op timization, which was held at the campus of Bilkent University, in Ankara, Turkey, July 16-29, 1990. In this conference, we brought many prominent researchers and young and promising scientists together to discuss current and future trends in the theory and prac tice of combinatorial optimization. The Bilkent campus was an excellent environment for such an undertaking. Being outside of Ankara, the capital of Turkey, Bilkent University gave the participants a great opportunity for exchanging ideas and discussing new theories and applications without much distraction. One of the primary goals of NATO ASIs is to bring together a group of scientists and research scientists primarily from the NATO countries for the dissemination of ad vanced scientific knowledge and the promotion of international contacts among scientists. We believe that we accomplished this mission very successfully by bringing together 15 prominent lecturers and 45 promising young scientists from 12 countries, in a university environment for 14 days of intense lectures, presentations and discussions.

Author : Maggie Xiaoyan Cheng
Publisher : Springer Science & Business Media
ISBN 13 : 0387290265
Total Pages : 655 pages
Book Rating : 4.63/5 ( download)

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Download or read book Combinatorial Optimization in Communication Networks written by Maggie Xiaoyan Cheng and published by Springer Science & Business Media. This book was released on 2006-07-02 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a comprehensive presentation of cutting-edge research in communication networks with a combinatorial optimization component. The objective of the book is to advance and promote the theory and applications of combinatorial optimization in communication networks. Each chapter is written by an expert dealing with theoretical, computational, or applied aspects of combinatorial optimization.

Author : Ding-Zhu Du
Publisher : Springer
ISBN 13 : 3030161943
Total Pages : 315 pages
Book Rating : 4.41/5 ( download)

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Download or read book Nonlinear Combinatorial Optimization written by Ding-Zhu Du and published by Springer. This book was released on 2019-05-31 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate students and researchers in applied mathematics, optimization, engineering, computer science, and management science will find this book a useful reference which provides an introduction to applications and fundamental theories in nonlinear combinatorial optimization. Nonlinear combinatorial optimization is a new research area within combinatorial optimization and includes numerous applications to technological developments, such as wireless communication, cloud computing, data science, and social networks. Theoretical developments including discrete Newton methods, primal-dual methods with convex relaxation, submodular optimization, discrete DC program, along with several applications are discussed and explored in this book through articles by leading experts.